Ali Raza1, Muhammad Rafiq2, Nauman Ahmed3, Ilyas Khan4, *, Kottakkaran Sooppy Nisar5, Zafar Iqbal3
CMC-Computers, Materials & Continua, Vol.65, No.1, pp. 263-278, 2020, DOI:10.32604/cmc.2020.011289
Abstract In this manuscript, we consider a stochastic smoking epidemic model from
behavioural sciences. Also, we develop a structure preserving numerical method to
describe the dynamics of stochastic smoking epidemic model in a human population. The
structural properties of a physical system include positivity, boundedness and dynamical
consistency. These properties play a vital role in non-linear dynamics. The solution for
nonlinear stochastic models necessitates the conservation of these properties.
Unfortunately, the aforementioned properties of the model have not been restored in the
existing stochastic methods. Therefore, it is essential to construct a structure preserving
numerical method for a reliable analysis of… More >
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